[tex]m^{\frac{8}{15}}[/tex]
Explanation
Let's remember some properties of the operations for powered numbers
[tex]\begin{gathered} a^x*a^y=a^{x+y} \\ a^{\frac{1}{x}}=\sqrt[x]{a} \end{gathered}[/tex]
so
Step 1
[tex]m^{\frac{1}{3}}*m^{\frac{1}{5}}[/tex]
solve by aplying the property
[tex]\begin{gathered} m^{\frac{1}{3}}*m^{\frac{1}{5}} \\ m^{\frac{1}{3}}*m^{\frac{1}{5}}=m^{\frac{1}{3}+\frac{1}{5}} \\ m^{\frac{1}{3}}*m^{\frac{1}{5}}=m^{\frac{8}{15}} \end{gathered}[/tex]
therefore, the answer is
[tex]m^{\frac{8}{15}}[/tex]
I hope this helps you
